I would prefer a phone where I can have more than one partition. For all intents and purposes the presentation looks the same but unless I am in the more secure partition I may not see everything that is on my phone.

This would need some work on the app side, like being able to push anything I want from nonsecure to secure partition with a swipe or similar gesture. once pushed to another partition the only way to return it to the open partition would be swap to secure and copy it back.